Answer:
8 am Monday
Step-by-step explanation:
The difference between the two watches is 2+1= 3 minutes.
It would take 60/3 = 20 hours to have a difference of 60 minutes.
From noon Sunday it would be more 20 hours the earliest time there would be a difference of one hour between the two watches' time.
12 noon + 20 hours= 8 am Monday
Hi there!
Since we know that this is a right isosceles triangle, we can use the 45-45-90 relationship to figure out the missing side lengths. Using this relationship, we know that the two marked sides are both equal to 5 inches. Next, we need to use the formula to find the area of a triangle, which is A = 1/2(b * h). We know that the base of this triangle is 5, as is the height. All we need to do is plug in the numbers and solve: A = 1/2(5 * 5) | A = 1/2(25) | A = 12.5 inches^2.
Hope this helps!! :)
If something doesn't make sense or if there's anything else that I can help you with, please let me know!
Answer:
4/3
Step-by-step explanation:
A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.

So the slope is 4/3 and must be the value between any two points on the line.
This means the function moves from (0,0) to (1, 4/3).
Answer:
a) 240°
b) 30°
c) 225°
Step-by-step explanation:
To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.
a)
sin(θ) = -√3/2
θ = arcsin(-√3/2)
θ = -60°
Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).
b)
tan(θ) = 1/√3
θ = arctan(1/√3)
θ = 30°
c)
csc means cosecant, by definition:
csc(θ) = 1/sin(θ)
csc(θ) = -√2
1/sin(θ) = -√2
sin(θ) = -1/√2
θ = arcsin(-1/√2)
θ = -45° or 360-45 = 315° or 180+45 = 225°
5/8=x/100
x=(5/8)(100)=500/8
x=62.5%